Cyclic and finite surgeries on pretzel knots

Thomas W. Mattman

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arXiv · math/0102050

Cyclic and finite surgeries on pretzel knots

Thomas W. Mattman

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Abstract

We classify Dehn surgeries on (p,q,r) pretzel knots resulting in a manifold M(s) having cyclic fundamental group and analyze those leading to a finite fundamental group. The proof uses the theory of cyclic and finite surgeries developed by Culler, Shalen, Boyer, and Zhang. In particular, Culler-Shalen seminorms play a central role.

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BibTeX RIS

Thomas W. Mattman. 2001-12-13. Cyclic and finite surgeries on pretzel knots. https://arxiv.org/abs/math/0102050

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